a.
Find the maximum displacement.
a.

Answer to Problem 54E
Explanation of Solution
Given information:
For the simple harmonic motion described by the trigonometric function.
Find the maximum displacement.
Calculation:
Consider the given equation
The maximum displacement from the point of equilibrium is amplitude which is the coefficient of
Hence, The maximum displacement is
b.
Find the frequency.
b.

Answer to Problem 54E
Explanation of Solution
Given information:
For the simple harmonic motion described by the trigonometric function.
Find the frequency.
Calculation:
Consider the given equation
Hence, the frequency is
c.
Find the value of
c.

Answer to Problem 54E
Explanation of Solution
Given information:
For the simple harmonic motion described by the trigonometric function.
The value of
Calculation:
Consider the given equation
Hence, the value of
d.
The least positive value of
d.

Answer to Problem 54E
Explanation of Solution
Given information:
For the simple harmonic motion described by the trigonometric function.
The least positive value of
Calculation:
Consider the given equation
For least value of
Hence, the least positive value of
Now use a graphing utility to verify your results.
Use
Press
Press window button and set window parameter.
Press the TRACE button and view the graph of the function,
Now press 2nd and CALC and select option
Hence when
Now press 2nd and CALC and select option
Hence, when
Now press 2nd and CALC and select option
Hence, when
Chapter 4 Solutions
EBK PRECALCULUS W/LIMITS
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